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Finding the Fourth Proportional to 1,423.41, 2,134.63 and 498.79

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Solution

The fourth proportional to 1,423.41, 2,134.63 and 498.79 is: 748.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.41 : 2,134.63 = 498.79 : x
  2. Step 2: Convert to fraction form
    1,423.41/2,134.63 = 498.79/x
  3. Step 3: Cross multiply
    1,423.41x = 2,134.63 × 498.79
  4. Step 4: Simplify right side
    1,423.41x = 1,064,732.10
  5. Step 5: Solve for x
    x = 1,064,732.10/1,423.41
  6. Step 6: Final answer
    x = 748.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.